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In the data set below, what is the mean absolute deviation? $\newline$ $3, 8, 4, 4, 9$ $\newline$ If the answer is a decimal, round it to the nearest tenth. $\newline$ mean absolute deviation (MAD): $\_\_$

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Calculate mean absolute deviation

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Q. In the data set below, what is the mean absolute deviation?

\newline

3, 8, 4, 4, 9

\newline

If the answer is a decimal, round it to the nearest tenth.

\newline

mean absolute deviation (MAD):

\_\_

Calculate Mean: Calculate the mean of the data set $3, 8, 4, 4, 9$ . $\newline$ Sum of data points: $3 + 8 + 4 + 4 + 9 = 28$ $\newline$ Number of data points: $5$ $\newline$ Mean calculation: $\frac{28}{5} = 5.6$
Absolute Deviations: Calculate the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $3$ = $|3 - 5.6| = 2.6$ $\newline$ Absolute deviation for $8$ = $|8 - 5.6| = 2.4$ $\newline$ Absolute deviation for $4$ = $|4 - 5.6| = 1.6$ $\newline$ Absolute deviation for $4$ = $|4 - 5.6| = 1.6$ $\newline$ Absolute deviation for $9$ = $|9 - 5.6| = 3.4$
Mean of Absolute Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $2.6 + 2.4 + 1.6 + 1.6 + 3.4 = 11.6$ $\newline$ Mean of absolute deviations: $11.6 / 5 = 2.32$
Round Rounded Value: Round the mean of absolute deviations to the nearest tenth. $\newline$ Rounded value: $2.32$ rounds to $2.3$

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